Base | Representation |
---|---|
bin | 1110010011110… |
… | …00011111100000 |
3 | 22100212012212000 |
4 | 13021320133200 |
5 | 221211444300 |
6 | 15524404000 |
7 | 2655151122 |
oct | 711703740 |
9 | 270765760 |
10 | 120031200 |
11 | 61833243 |
12 | 34246600 |
13 | 1bb381a3 |
14 | 11d27212 |
15 | a80ec00 |
hex | 72787e0 |
120031200 has 144 divisors (see below), whose sum is σ = 434190960. Its totient is φ = 32002560.
The previous prime is 120031187. The next prime is 120031201. The reversal of 120031200 is 2130021.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (120031201) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18822 + ... + 24378.
It is an arithmetic number, because the mean of its divisors is an integer number (3015215).
Almost surely, 2120031200 is an apocalyptic number.
120031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 120031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217095480).
120031200 is an abundant number, since it is smaller than the sum of its proper divisors (314159760).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120031200 is a wasteful number, since it uses less digits than its factorization.
120031200 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5586 (or 5567 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 9.
The square root of 120031200 is about 10955.8751361998. The cubic root of 120031200 is about 493.2851588378.
Adding to 120031200 its reverse (2130021), we get a palindrome (122161221).
It can be divided in two parts, 12003 and 1200, that added together give a triangular number (13203 = T162).
The spelling of 120031200 in words is "one hundred twenty million, thirty-one thousand, two hundred".
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